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Finding the Third Proportional to 305,694 and 449,145

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Solution

The third proportional to 305,694 and 449,145 is: 659,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,694 : 449,145 = 449,145 : x
  2. Step 2: Convert to fraction form
    305,694/449,145 = 449,145/x
  3. Step 3: Cross multiply
    305,694x = 449,145 × 449,145
  4. Step 4: Simplify right side
    305,694x = 201,731,231,025
  5. Step 5: Solve for x
    x = 201,731,231,025/305,694
  6. Step 6: Final answer
    x = 659,912.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.